The ratio of boys to girls in a gym class is 5:3. There are 27 girls in the class. How many boys are in the class?

There are 45 boys in the gym class.

Step-by-step explanation:

Set up an equation:

Variable x = number of boys in the class

5/3 = x/27

Cross multiply:

5 × 27 = 3 × x

135 = 3x

Divide both sides by 3

45 = x

Check your work:

5/3 = 45/27

5 × 27 = 3 × 45

135 = 135

Correct!

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.